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MATH 786

Cooperative Game Theory

Catalog2026-2027
Credits3 units
LevelGraduate
Average gradeA-
Standard

Overview

Description

Shapley-Bondareva Theorem, convex games, market games, assignment games, permutation games, Shapley value, power indices, multilinear extensions, ordinal preference matching games, NTU games, Scarf Theorem.

Units

Lecture3

Catalog Details

Offering

Offered: Every Spring - Even Years

Terms

spring

Attributes

Standard

Learning Outcomes

  • demonstrate understanding of the main theories (and proofs) from classical TU cooperative game theory, including the Shapley-Bondareva theorem, and the theory of convex games, market games, and the Shapley Value, as well as the Scarf theorem for NTU games.
  • demonstrate understanding of the main theories (and proofs) from the broad area of matching games, including the assignment game, permutation game, houseswapping game, and marriage game.
  • read a research paper (in the area of cooperative game theory) from a journal and present it in a lucid manner.